Recently, Boehm et al. [1]} claimed that cosmological black holes (BHs) are described by Thakurta metric and, therefore, for example, the LIGO-Virgo bounds on the possible primordial black hole (PBH) abundance (see [2]} for the latest constraint) would be invalid. In [3]} we argued that the physical conditions which induce the Thakurta metric are not realized in any realistic cosmological scenario. Our criticism was questioned by Boehm et al. in [4]}, who believe that in [3]} we misinterpreted the Thakurta metric. In this reply, we address the comments presented in Ref. [4]}.
